Created
September 18, 2017 11:49
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Estimate lowest frequency in gravitational waveform using leading order PN
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| # | |
| def pnw0(m1,m2,D=10.0): | |
| # https://arxiv.org/pdf/1310.1528v4.pdf | |
| # Equation 228 | |
| # 2nd Reference: arxiv:0710.0614v1 | |
| # NOTE: this outputs orbital frequency | |
| from numpy import sqrt,zeros,pi,array,sum | |
| # | |
| G = 1.0 | |
| c = 1.0 | |
| r = float(D) | |
| M = float( m1+m2 ) | |
| v = m1*m2/( M**2 ) | |
| gamma = G*M/(r*c*c) # Eqn. 225 | |
| # | |
| trm = zeros((4,)) | |
| # | |
| trm[0] = 1.0 | |
| trm[1] = v - 3.0 | |
| trm[2] = 6 + v*41.0/4.0 + v*v | |
| trm[3] = -10.0 + v*( -75707.0/840.0 + pi*pi*41.0/64.0 ) + 19.0*0.5*v*v + v*v*v | |
| # | |
| w0 = sqrt( (G*M/(r*r*r)) * sum( array([ term*(gamma**k) for k,term in enumerate(trm) ]) ) ) | |
| # | |
| return w0 |
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